A new concept of a similarity measure for intuitionistic fuzzy sets and its use in group decision making

  • Authors:

  • Eulalia Szmidt;Janusz Kacprzyk

  • Affiliations:

  • Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland;Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

  • Venue:
  • MDAI'05 Proceedings of the Second international conference on Modeling Decisions for Artificial Intelligence
  • Year:
  • 2005

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Abstract

We propose a new measure of similarity for intuitionistic fuzzy sets, and use it to analyze the extent of agreement in a group of experts. The proposed measure takes into account two kinds of distances – one to an object to be compared, and one to its complement. We infer about the similarity of preferences on the basis of a difference between the two types of distances. We show that infering without taking into account a distance to a complement of an object can be misleading.